Question

Find the centroid of triangle whose vertices are $(3,9),(-5,8)$ and $(8,4)$.

• A. $2,7$
• B. $7,2$
• C. $2,5$
• D. $7,5$

Answer 1

Answer: (A)

$2,7$

The centroid of triangle $\Rightarrow \frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3}$
$\Rightarrow \frac{3+(-5)+8}{3},\frac{9+8+4}{3}$

$\Rightarrow \frac{6}{3},\frac{21}{3}\Rightarrow (2,7)$

So, option A is correct.